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Finding the Fourth Proportional to 6,378.45, 9,554.91 and 5,064.42

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Solution

The fourth proportional to 6,378.45, 9,554.91 and 5,064.42 is: 7,586.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.45 : 9,554.91 = 5,064.42 : x
  2. Step 2: Convert to fraction form
    6,378.45/9,554.91 = 5,064.42/x
  3. Step 3: Cross multiply
    6,378.45x = 9,554.91 × 5,064.42
  4. Step 4: Simplify right side
    6,378.45x = 48,390,122.63
  5. Step 5: Solve for x
    x = 48,390,122.63/6,378.45
  6. Step 6: Final answer
    x = 7,586.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.